BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.35, sa.3, ss.79-93, 2017 (ESCI)
In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike axis in R-1(4), we develop two class of spacelike surface which are called constant timelike angle surfaces with timelike and spacelike axis in de Sitter space S-1(3). Moreover we give constant timelike angle tangent surfaces which are examples constant angle surfaces in de Sitter space S-1(3).